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New global robust stability results for delayed cellular neural networks based on norm-bounded uncertainties

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  • Singh, Vimal

Abstract

A new linear matrix inequality based approach to the uniqueness and global asymptotic stability of the equilibrium point of uncertain cellular neural networks with delay is presented. The uncertainties are assumed to be norm-bounded. A new type of Lyapunov–Krasovskii functional is employed to derive the result.

Suggested Citation

  • Singh, Vimal, 2006. "New global robust stability results for delayed cellular neural networks based on norm-bounded uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1165-1171.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:5:p:1165-1171
    DOI: 10.1016/j.chaos.2005.08.183
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    References listed on IDEAS

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    1. Cao, Jinde & Ho, Daniel W.C., 2005. "A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1317-1329.
    2. He, Yong & Wang, Qing-Guo & Zheng, Wei-Xing, 2005. "Global robust stability for delayed neural networks with polytopic type uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1349-1354.
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    Cited by:

    1. Singh, Vimal, 2009. "Remarks on estimating upper limit of norm of delayed connection weight matrix in the study of global robust stability of delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2013-2017.
    2. Syed Ali, M. & Balasubramaniam, P., 2009. "Global exponential stability of uncertain fuzzy BAM neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2191-2199.
    3. Qiu, Jiqing & Zhang, Jinhui & Wang, Jianfei & Xia, Yuanqing & Shi, Peng, 2008. "A new global robust stability criteria for uncertain neural networks with fast time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 360-368.
    4. Singh, Vimal, 2009. "Novel global robust stability criterion for neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 348-353.

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